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Finding the Fourth Proportional to 3,169.41, 4,748.69 and 2,243.45

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Solution

The fourth proportional to 3,169.41, 4,748.69 and 2,243.45 is: 3,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.41 : 4,748.69 = 2,243.45 : x
  2. Step 2: Convert to fraction form
    3,169.41/4,748.69 = 2,243.45/x
  3. Step 3: Cross multiply
    3,169.41x = 4,748.69 × 2,243.45
  4. Step 4: Simplify right side
    3,169.41x = 10,653,413.62
  5. Step 5: Solve for x
    x = 10,653,413.62/3,169.41
  6. Step 6: Final answer
    x = 3,361.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.